Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	276×	body	80	valid
8.0ms	289×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	47	5
2	71	5
3	103	5
4	124	5
5	138	5
6	148	5
7	148	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* y (sqrt z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`associate-r`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-l` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
2×	`distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 35

Calls

2 calls:

7.0ms	(+ x (* y (sqrt z)))
5.0ms	(* y (sqrt z))

series76.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (* y (sqrt z)))
44.0ms	(* y (sqrt z))

simplify116.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	219	194
1	829	174
2	3837	167
3	5002	167

prune97.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

74×	`sqrt-prod`
69×	`add-sqr-sqrt`
27×	`associate-r` `unswap-sqr`
26×	`associate-l`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`*-commutative`

Counts

4 → 119

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
15.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (sqrt z))
134.0ms	(sqrt (sqrt z))
78.0ms	(* y (sqrt (sqrt z)))
40.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	362	816
1	1510	664
2	5001	628

prune280.0ms

Filtered

131 candidates to 73 candidates (55.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	5	0	5
Picked	1	0	1
Done	0	1	1
Total	133	5	138

Merged error: 0b

Counts

138 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 z) -1/4)
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-sqr-sqrt`
49×	`sqrt-prod`
41×	`add-exp-log` `unswap-sqr`
38×	`unpow-prod-down`
35×	`-un-lft-identity` `associate-r*`
31×	`add-cube-cbrt`
26×	`times-frac` `associate-l`
19×	`prod-exp`
15×	`pow1`
12×	`pow-exp`
11×	`add-cbrt-cube`
6×	`div-exp` `sqr-pow`
4×	`sqrt-pow1` `pow-prod-down` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `*-commutative`
2×	`rem-sqrt-square` `pow1/2` `div-inv`
1×	`pow-flip` `inv-pow`

Counts

4 → 158

Calls

4 calls:

6.0ms	(pow (/ 1 z) -1/4)
2.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
22.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series505.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(pow (/ 1 z) -1/4)
147.0ms	(sqrt (sqrt z))
85.0ms	(* y (sqrt (sqrt z)))
92.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify81.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	674	1248
1	3027	1165
2	5001	1163

prune433.0ms

Filtered

170 candidates to 96 candidates (56.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	170	5	175

Merged error: 0b

Counts

175 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series740.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt z) (cbrt z))
178.0ms	(cbrt z)
185.0ms	(cbrt z)
180.0ms	(cbrt z)

simplify99.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3258	241
3	5001	238

prune358.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Merged error: 0b

Counts

93 → 5

regimes209.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample848.0ms

Algorithm

intervals

Results

259.0ms	8519×	body	80	valid
239.0ms	8639×	body	80	nan
0.0ms	1×	body	640	valid